[5x^{2}*2xy^{6}+(2xy^2)^3]div4x^2y^3 eching

$$[ 5 x ^ { 2 } \cdot 2 x y ^ { 6 } + ( 2 x y ^ { 2 } ) ^ { 3 } ] \div 4 x ^ { 2 } y ^ { 3 }$$

Baholash

$$\frac{9x^{5}y^{9}}{2}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{5x^{3}\times 2y^{6}+\left(2xy^{2}\right)^{3}}{4}x^{2}y^{3}$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{10x^{3}y^{6}+\left(2xy^{2}\right)^{3}}{4}x^{2}y^{3}$$

\left(2xy^{2}\right)^{3} ni kengaytirish.

$$\frac{10x^{3}y^{6}+2^{3}x^{3}\left(y^{2}\right)^{3}}{4}x^{2}y^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\frac{10x^{3}y^{6}+2^{3}x^{3}y^{6}}{4}x^{2}y^{3}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{10x^{3}y^{6}+8x^{3}y^{6}}{4}x^{2}y^{3}$$

18x^{3}y^{6} ni olish uchun 10x^{3}y^{6} va 8x^{3}y^{6} ni birlashtirish.

$$\frac{18x^{3}y^{6}}{4}x^{2}y^{3}$$

\frac{9}{2}x^{3}y^{6} ni olish uchun 18x^{3}y^{6} ni 4 ga bo‘ling.

$$\frac{9}{2}x^{3}y^{6}x^{2}y^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$\frac{9}{2}x^{5}y^{6}y^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 3 ni qo‘shib, 9 ni oling.

$$\frac{9}{2}x^{5}y^{9}$$

Kengaytirish

$$\frac{9x^{5}y^{9}}{2}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{5x^{3}\times 2y^{6}+\left(2xy^{2}\right)^{3}}{4}x^{2}y^{3}$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{10x^{3}y^{6}+\left(2xy^{2}\right)^{3}}{4}x^{2}y^{3}$$

\left(2xy^{2}\right)^{3} ni kengaytirish.

$$\frac{10x^{3}y^{6}+2^{3}x^{3}\left(y^{2}\right)^{3}}{4}x^{2}y^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\frac{10x^{3}y^{6}+2^{3}x^{3}y^{6}}{4}x^{2}y^{3}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{10x^{3}y^{6}+8x^{3}y^{6}}{4}x^{2}y^{3}$$

18x^{3}y^{6} ni olish uchun 10x^{3}y^{6} va 8x^{3}y^{6} ni birlashtirish.

$$\frac{18x^{3}y^{6}}{4}x^{2}y^{3}$$

\frac{9}{2}x^{3}y^{6} ni olish uchun 18x^{3}y^{6} ni 4 ga bo‘ling.

$$\frac{9}{2}x^{3}y^{6}x^{2}y^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$\frac{9}{2}x^{5}y^{6}y^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 3 ni qo‘shib, 9 ni oling.

$$\frac{9}{2}x^{5}y^{9}$$